Question
If $A =\left[\begin{array}{cc}3 & -3 \\ 3 & 3\end{array}\right], B =\left[\begin{array}{ll}6 & 3 \\ 4 & 2\end{array}\right]$ and $C =\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$ then which of the matrix will be invertible matrix?

Answer

Here $|A| \neq 0,|B|=0,|C| \neq 0$
Hence invertible matrix will be$
A=\left[\begin{array}{cc}
3 & -3 \\
3 & 3
\end{array}\right] \text { and } C=\left[\begin{array}{ll}
0 & 1 \\
1 & 0
\end{array}\right]
$

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